113302333200200 has 192 divisors, whose sum is σ = 278423438092800. Its totient is φ = 42812205004800.

The previous prime is 113302333200149. The next prime is 113302333200319. The reversal of 113302333200200 is 2002333203311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428827334 + ... + 429091466.

It is an arithmetic number, because the mean of its divisors is an integer number (1450122073400).

Almost surely, 2^{113302333200200} is an apocalyptic number.

113302333200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113302333200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139211719046400).

113302333200200 is an abundant number, since it is smaller than the sum of its proper divisors (165121104892600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113302333200200 is a wasteful number, since it uses less digits than its factorization.

113302333200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265832 (or 265823 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 113302333200200 its reverse (2002333203311), we get a palindrome (115304666403511).

The spelling of 113302333200200 in words is "one hundred thirteen trillion, three hundred two billion, three hundred thirty-three million, two hundred thousand, two hundred".